Nontrivial solutions for Kirchhoff equations with periodic potentials

In this article we consider the Kirchhoff equations $$ -\Big(a+b\int_{\mathbb{R}^3}|\nabla u|^2\Big)\Delta u+V(x)u=f(x,u),\quad x\in\mathbb{R}^3, $$ where $a,b>0$ are constants, the nonlinearity f is superlinear at infinity with subcritical or critical growth and V is positive, continuous...

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Bibliographic Details
Main Authors: Xiaoyan Ma, Xiaoming He
Format: Article
Language:English
Published: Texas State University 2016-04-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2016/102/abstr.html